Question

ive students came for after-school tutoring. Priya’s teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all. Use y as the variable. *

Answer 1

Answer:

The equation for the situation is:

$5y+2=27$

where $y$ represents the number of questions initially assigned to each student by the teacher.

On solving, we find that 5 questions were originally assigned to each student by the teacher.

Step-by-step explanation:

Question:

Five students came for after-school tutoring. Priya’s teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all. Use y as the variable. Write an equation for the situation. Then, find the number of problems originally assigned to each by the teacher.

Given:

Total number of students = 5

Total problems assigned = 27

To find the number of problems originally assigned by the  teacher.

Solution:

Let the number of problems originally assigned by the teacher to each student be = $y$

If each student is assigned $y$ questions initially.

Then, 5 students was initially assigned = $5y$ questions

The teacher then assigned 2 more problems to one of the students.

So, the total number of questions now assigned will be given as:

⇒ $5y+2$

Total problems assigned = 27

Thus, we have:

$5y+2=27$

Solving for $y$

Subtracting both sides by 2.

$5y+2-2=27-2$

$5y=25$

Dividing both sides by 5.

$\frac{5y}{5}=\frac{25}{5}$

∴ $y=5$

Thus, each student was originally assigned = 5 questions